1.

How many multiple of 3 or 4 are there from 1 to 100?1). 552). 503). 584). 33

Answer»

Numbers MULTIPLE of 3 or 4 = numbers multiple of 3 + numbers multiple of 4 - numbers multiple of both 3 and 4

For numbers multiple of 3,

On dividing 100 by 3 we get quotient 33.

∴ there are 33 numbers from 1 to 100 which are multiple of 3.

For numbers multiple of 4,

On dividing 100 by 4 we get quotient 25

∴ there are 25 numbers from 1 to 100 which are multiple of 4.

For numbers multiple of both 3 and 4,

LCM of 3 and 4 is 12.

Numbers which are multiple of 12 from number 1 to 100 are the numbers which are multiple of both 3 and 4.

On dividing 100 by 12 we get quotient 8.

∴ there are 8 numbers from number 1 to 100 which are multiples of both 3 and 4.

Numbers multiple of 3 or 4 = numbers multiple of 3 + numbers multiple of 4 - numbers multiple of both 3 and 4

Numbers multiple of 3 or 4 = 33 + 25 - 8 = 50


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